In this paper we study the uncertainty principle (UP) connecting a function over finite field and its Mattson-Solomon polynomial, which is kind of Fourier transform in positive characteristic. Three versions UP fields are studied, connection with asymptotic theory cyclic codes. We first show that no satisfies strong version UP, introduced recently by Evra, Kowalsky, Lubotzky, 2017. A refinement...

Most physics books do not reveal clearly how the Heisenberg uncertainty principle was derived. This comes from consequence of wave-particle duality matter giving statement that position and momentum cannot be measured in same time. article tries to mathematics background behind expression using supported such as Fourier transform, transform integral, probability Gaussian distribution it ends up...

Abstract It has been argued that non-Gaussian statistics provide a natural framework to investigate semiclassical effects in the context of Planck-scale deformations Heisenberg uncertainty relation. Here we substantiate this point by considering Unruh effect as specific playground. By working realm quantum field theory, reformulate derivation modified from generalized principle (GUP) language n...